The table below shows the choices made by 125 players on the first turn of a Rock-Paper-Scissors game. Recall that rock beats scissors which beats paper which beats rock. A player gains an advantage in playing this game if there is evidence that the choices made on the first turn are not equally distributed among the three options. Use a goodness-of-fit test to see it there is evidence that any of the proportions are different from 13.
Option Selected | Frequency |
Rock | 69 |
Paper | 41 |
Scissors | 15 |
Total | 125 |
Calculate the chi-square test statistic and the p-value.
Round your answer for the chi-square statistic to two decimal
places, and your answer for the p-value to three decimal
places.
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